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Finding the Fourth Proportional to 402.31, 604.14 and 249.13

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Solution

The fourth proportional to 402.31, 604.14 and 249.13 is: 374.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.31 : 604.14 = 249.13 : x
  2. Step 2: Convert to fraction form
    402.31/604.14 = 249.13/x
  3. Step 3: Cross multiply
    402.31x = 604.14 × 249.13
  4. Step 4: Simplify right side
    402.31x = 150,509.40
  5. Step 5: Solve for x
    x = 150,509.40/402.31
  6. Step 6: Final answer
    x = 374.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.